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Finding the Third Proportional to 85,890.50 and 126,267

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Solution

The third proportional to 85,890.50 and 126,267 is: 185,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,890.50 : 126,267 = 126,267 : x
  2. Step 2: Convert to fraction form
    85,890.50/126,267 = 126,267/x
  3. Step 3: Cross multiply
    85,890.50x = 126,267 × 126,267
  4. Step 4: Simplify right side
    85,890.50x = 15,943,355,289
  5. Step 5: Solve for x
    x = 15,943,355,289/85,890.50
  6. Step 6: Final answer
    x = 185,624.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.